4631605213365 has 24 divisors (see below), whose sum is σ = 8645663066040. Its totient is φ = 2280174873984.

The previous prime is 4631605213363. The next prime is 4631605213387. The reversal of 4631605213365 is 5633125061364.

4631605213365 is a `hidden beast` number, since 4 + 6 + 3 + 1 + 60 + 521 + 3 + 3 + 65 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 777992797521 + 3853612415844 = 882039^2 + 1963062^2 .

It is not a de Polignac number, because 4631605213365 - 2¹ = 4631605213363 is a prime.

It is a super-3 number, since 3×4631605213365³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4631605213365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4631605213363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3958636350 + ... + 3958637519.

It is an arithmetic number, because the mean of its divisors is an integer number (360235961085).

Almost surely, 2^{4631605213365} is an apocalyptic number.

4631605213365 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4631605213365 is a deficient number, since it is larger than the sum of its proper divisors (4014057852675).

4631605213365 is a wasteful number, since it uses less digits than its factorization.

4631605213365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7917273893 (or 7917273890 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 4631605213365 in words is "four trillion, six hundred thirty-one billion, six hundred five million, two hundred thirteen thousand, three hundred sixty-five".